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<p>The paper deals with the spectral theory of a class of non-self-adjoint convolution operators whose entries are circulant matrices. We show that such operators are of scalar type and provide exact formulas for their spectral measures. The general case of operators defined on Banach spaces is also considered.</p>

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Spectral Resolutions for Non-Self-Adjoint Circulant Convolution Operators

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  • 出版模式：

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  • 发表日期：

    2025年8月1日

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  • Ewelina Zalot

摘要

The paper deals with the spectral theory of a class of non-self-adjoint convolution operators whose entries are circulant matrices. We show that such operators are of scalar type and provide exact formulas for their spectral measures. The general case of operators defined on Banach spaces is also considered.